AMO · 2027 · Grades 6-7 · Self-study SET 30 Question 1

Choose a numerator and a denominator from $1,2,3,4,5,6,7,8,9,10$. Many resulting fractions are equal after reduction. How many distinct reduced fractions are strictly greater than $1/2$ and strictly less than $1$?

**Input:** Enter the integer only, without units.